Completion of a quality Algebra course by 8th grade is a prerequisite for successful entry into STEM majors; thus best practices in this critical course must be as equitable as possible to support STEM recruitment and retention. However, if the research base for Algebra is under-examines some populations of students, structural inequity may be…

We investigated the impact of assistance on learning and affect during problem-solving activities with a computer tutor we built using the Cognitive Tutor Authoring Tools framework. The tutor delivered its primary form of assistance in the form of worked-out examples. We manipulated the level of assistance the examples in the tutor provided, by…

Conceptual understanding of calculus is crucial in the fields of applied sciences, business, and engineering and technology subjects. However, the current status indicates that students possess only procedural knowledge developed from rote learning of procedures in calculus without insight of core ideas. Hence, this paper aims to assess students'…

In this study, it was aimed both to examine middle school students' perceptions of the concept of pattern and to reveal if the metaphoric perceptions which the students created in relation to the concept of pattern changed according to the variable of grade level. The metaphors in relation to the concept were carried out via the…

The concept of equivalence can be elusive to students and can be confounded with unproductive understandings of the equals sign. Using the game-based digital algebraic notation system, From Here to There! (FH2T), students explore ideas of equivalence by dynamically transforming expressions or equations among mathematically equivalent states. In…

There are different perspectives in the literature on the examination of visual images used in course books. In this study, illustrations from the visuals used in geometry in the lower learning area of school mathematics were examined and summarized first by researchers and then by teachers and students. For many students, the mathematics…

Pre-algebra mathematical competencies were assessed for a large and diverse sample of sixth graders (n = 1,926), including whole number and fractions arithmetic, conceptual understanding of equality and fractions magnitudes, and the fractions number line. The goal was to determine if there were clusters of students with similar patterns of…

Conceptual understanding is one of the main concerns of mathematics education. Numerous research have discussed student understanding of algebraic concepts, linear equations in particular. This research was drawn upon in order to develop a new approach for teaching and learning linear equations based on the equivalence concept, one that aims to…

This paper provides a narrative account describing how a first-year teacher's empowering care in her mathematics classes in an inner-city high school in Southern California contributed to better student learning and helped raise district-wide test scores. The purpose of the article, chronicled from a practitioner's point of view, examines how…

In South Africa, limited studies have been conducted investigating responsive teaching and little is known about how teachers respond to unexpected events 'in the moment' that did not form part of their planning. In this article, we report how a Grade 9 novice and expert teacher responded to unexpected learner offers during the teaching of algebra…

Mastery-grading techniques such as mastery-based grading, specifications grading, and standards-based grading are assessment techniques professors are implementing in order to support a growth mindset of learning, decrease test anxiety, and help students develop a deeper understanding of course objectives. In this paper, we provide an analysis of…

This study examines the collective mathematical reasoning when students and teachers in grades 3, 4, and 5 explore fractions derived from length comparisons, in a task inspired by the Elkonin and Davydov curriculum. The analysis showed that the mathematical reasoning was mainly anchored in mathematical properties related to fractional or algebraic…

In this study, a community of high school Common Core Algebra I teachers in a socio-economically and racially diverse suburban high school participated in a lesson study process facilitated by an instructional coach to design curriculum for an algebra lab model. The model was intended to address issues of equity and access in mathematics…

The Better Math Teaching Network (BMTN) is a networked improvement community (NIC) of researchers and high school teachers from New England who use improvement science principles to deepen student engagement in algebra content. The BMTN began as a pilot during the 2015-16 school year and concluded in fall 2021. Key learnings from the network…

From 2016 to 2021, the Better Math Teaching Network (BMTN) aimed to transform high school mathematics teaching in New England. Researchers and teachers worked together to make high school Algebra I classes more student centered. The BMTN was piloted with a group of nine teachers during the 2015-2016 school year and added teachers the following…